In Fig. 35-31, a light wave along ray r 1 reflects once from a mirror and a light wave along ray r 2 reflects twice from that same mirror and once from a tiny mirror at distance L from the bigger mirror. (Neglect the slight tilt of the rays.) The waves have wavelength λ and are initially exactly out of phase. What are the (a) smallest, (b) second smallest, and (c) third smallest values of L /λ that result in the final waves being exactly in phase? Figure 35-31 Problems 1 and 2.
In Fig. 35-31, a light wave along ray r 1 reflects once from a mirror and a light wave along ray r 2 reflects twice from that same mirror and once from a tiny mirror at distance L from the bigger mirror. (Neglect the slight tilt of the rays.) The waves have wavelength λ and are initially exactly out of phase. What are the (a) smallest, (b) second smallest, and (c) third smallest values of L /λ that result in the final waves being exactly in phase? Figure 35-31 Problems 1 and 2.
In Fig. 35-31, a light wave along ray r1 reflects once from a mirror and a light wave along ray r2 reflects twice from that same mirror and once from a tiny mirror at distance L from the bigger mirror. (Neglect the slight tilt of the rays.) The waves have wavelength λ and are initially exactly out of phase. What are the (a) smallest, (b) second smallest, and (c) third smallest values of L/λ that result in the final waves being exactly in phase?
www In Fig. 35-48,
an airtight chamber of length d
5.0 cm is placed in one of the arms
of a Michelson interferometer. (The
glass window on each end of the cham-
ber has negligible thickness.) Light of
wavelength A = 500 nm is used.
Evacuating the air from the chamber
causes a shift of 60 bright fringes. From
these data and to six significant figures,
81 SSM
Mirror
%3D
Source
Mirror
To vacuum
find the index of refraction of air at
pump
atmospheric pressure.
*67 O In the ray diagram of Fig. 33-63, where the angles are not
drawn to scale, the ray is incident at the critical angle on the inter-
face between materials 2 and 3. Angle o = 60.0°, and two of the in-
dexes of refraction are n = 1.70 and n2 = 1.60. Find (a) index of
refraction n3 and (b) angle 0. (c) If øi decreased, does light refract
into material 3?
Figure 33-63 Problem 67.
In the figure, assume two waves of light in air, of wavelength 407 nm, are initially in phase. One travels through a glass layer of index of
refraction n = 1.62 and thickness L. The other travels through an equally thick plastic layer of index of refraction n2 = 1.36. (a) What is
the smallest value L in meters should have if the waves are to end up with a phase difference of 5.26 rad? (b) If the waves arrive at some
common point with thsame amplitude, is their interference fully constructive, fully destructive, intermediate but closer to fully
constructive, or intermediate but closer to fully destructive?
(a) Number
i
Units
(b)
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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